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When two right angled vectors of magni-t...

When two right angled vectors of magni-tude 7 units and 24 units combine, what is the magnitude of their resultant ?

Text Solution

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Given `bar(P) = 7 ` units , `bar(Q) = 24 ` units , `theta = 90^(@)`
`:. Sqrt(P^(2) + Q^(2) + PQ cos theta) = sqrt(P^(2) + Q^(2))`
`:. R = sqrt(P^(2) + Q^(2)) = sqrt(7^(2) + 24^(2)) = 25 ` units.
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